If f(x) = x + 1 and g(x) = 2x – 7, which expression is equivalent to [f o g](3)? (3 + 1)(2(3) –7) 2(3)2 – 6 2(3 + 1) – 7 (2(3) –
1 answer:
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I'll add a picture so it can make more sense to you. :)
We'll use the picture below as an example okay? :)
What you want to do is m<span>ultiply the numerator (top number) of the left-hand fraction by the denominator (bottom number) of the right-hand fraction. Then multiply the numerator (top number) of the right-hand fraction by the denominator (bottom number) of the left-hand fraction. Next step is to set the two products equal to each other. Then s<span>olve for the variable. If you look at the picture while reading the steps, then I think it'll make more sense.
I really hope this helps :)</span></span>
We'll use the picture below as an example okay? :)
What you want to do is m<span>ultiply the numerator (top number) of the left-hand fraction by the denominator (bottom number) of the right-hand fraction. Then multiply the numerator (top number) of the right-hand fraction by the denominator (bottom number) of the left-hand fraction. Next step is to set the two products equal to each other. Then s<span>olve for the variable. If you look at the picture while reading the steps, then I think it'll make more sense.
I really hope this helps :)</span></span>
Given :
Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.
To Find :
At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.
Solution :
We know, volume of a cone is given by :
Also, h = r/5
r = 5h
Differentiating above equation w.r.t h, we get :
Hence, this is the required solution.
